Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space

The discrete Gel’fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel’fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using th...

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Main Authors: Nahomi Kan, Kiyoshi Shiraishi
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2019/6579187
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author Nahomi Kan
Kiyoshi Shiraishi
author_facet Nahomi Kan
Kiyoshi Shiraishi
author_sort Nahomi Kan
collection DOAJ
description The discrete Gel’fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel’fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using the results, we show the expressions for vacuum energies in such various models.
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institution Kabale University
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publishDate 2019-01-01
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spelling doaj-art-98a396f632584a6aa60af46b43e635002025-02-03T06:46:26ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/65791876579187Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory SpaceNahomi Kan0Kiyoshi Shiraishi1National Institute of Technology, Gifu College, Motosu-shi, Gifu 501-0495, JapanGraduate School of Sciences and Technology for Innovation, Yamaguchi University, Yamaguchi-shi, Yamaguchi 753-8512, JapanThe discrete Gel’fand–Yaglom theorem was studied several years ago. In the present paper, we generalize the discrete Gel’fand–Yaglom method to obtain the determinants of mass matrices which appear in current works in particle physics, such as dimensional deconstruction and clockwork theory. Using the results, we show the expressions for vacuum energies in such various models.http://dx.doi.org/10.1155/2019/6579187
spellingShingle Nahomi Kan
Kiyoshi Shiraishi
Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
Advances in Mathematical Physics
title Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
title_full Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
title_fullStr Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
title_full_unstemmed Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
title_short Deconstructing the Gel’fand–Yaglom Method and Vacuum Energy from a Theory Space
title_sort deconstructing the gel fand yaglom method and vacuum energy from a theory space
url http://dx.doi.org/10.1155/2019/6579187
work_keys_str_mv AT nahomikan deconstructingthegelfandyaglommethodandvacuumenergyfromatheoryspace
AT kiyoshishiraishi deconstructingthegelfandyaglommethodandvacuumenergyfromatheoryspace